...♠nice topology ♠... suppose ⟨S , τ ⟩ is Baire′s space and S = ∪_(n=1) ^∞ F_n such that F_n ′s are closed sets prove that:: ∃ m ; F_m ^( °) ≠ ∅ ..m.n.july ...♣m.n.july.1970♣...


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Question Number 115285 by mnjuly1970 last updated on 28/Sep/20

$. . . ♠ n i c e t o p o l o g y ♠ . . .$ $s u p p o s e ⟨ S, τ ⟩ i s {B a i r e}^{'} s$ $s p a c e a n d$ $S = \underset{n = 1}{\overset{\infty}{\cup}} F_{n} s u c h$ $t h a t F_{n}^{'} s a r e c l o s e d s e t s$ $p r o v e t h a t ::$ $\exists m; F_{m}^{°} \neq \emptyset . . m . n . j u l y$ $. . . ♣ m . n . j u l y . 1970 ♣ . . .$
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